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Sever21 [200]
3 years ago
9

Find which inequality statement is correct. A café used 15.75 pounds of flour on Monday and 15.57 pounds of flour on Tuesday. Wh

ich inequality statement is correct? 15.75 > 15.57 15.75 < 15.57 15.75 = 15.57
Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

15.75 > 15.57

Step-by-step explanation:

1. 15.75 is greater than 15.57. ">" means greater than.

2. 15.75 < 15.57 is wrong because 15.75 is not less than 15.57

3. 15.75 does not equal 15.57. They are not equal numbers.

4. This means " 15.75 > 15.57" is correct. Even though they are both 15 the number after the decimals are important to look at too. 75 is greater than 57.

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Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
3 years ago
Read 2 more answers
Can someone help me :(
k0ka [10]

Answer:

x = 20

Step-by-step explanation:

19 < x < 25

x had to be higher than 19 but lower than 25

18 cant be the answer because it is less than 19

27 cant be the answer because it is higher than 25

that leaves 20, which is the right answer

19 < 20 < 25

4 0
3 years ago
Your friend wants to sell painted rocks. He spends $10.00 on startup costs, and each painted rock costs him $0.75 to make. A sto
igomit [66]

Answer:

10 rocks

Step-by-step explanation:

The cost on startup is $10 and each painted rock cost around $0.75 to make. A store pays startup cost and buy painted rocks for $0.75 each there no profit because the cost price and selling price is the same.

3 0
2 years ago
0.5 to the second power x (20-2 to the third power x 3)x(2/5x25)
lesantik [10]

Answer:

489

Step-by-step explanation:

4 0
3 years ago
Help me with this questions please. I will give you 15 points.
alexgriva [62]

4) the answer is d

5) the answer is a

6) the answer is b

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4 years ago
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